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Finding the Fourth Proportional to 137,809.59, 190,174.82 and 77,380.71

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Solution

The fourth proportional to 137,809.59, 190,174.82 and 77,380.71 is: 106,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.59 : 190,174.82 = 77,380.71 : x
  2. Step 2: Convert to fraction form
    137,809.59/190,174.82 = 77,380.71/x
  3. Step 3: Cross multiply
    137,809.59x = 190,174.82 × 77,380.71
  4. Step 4: Simplify right side
    137,809.59x = 14,715,862,208.82
  5. Step 5: Solve for x
    x = 14,715,862,208.82/137,809.59
  6. Step 6: Final answer
    x = 106,784.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.